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Finding the Fourth Proportional to 442,338.50, 663,507.76 and 146,850.50

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Solution

The fourth proportional to 442,338.50, 663,507.76 and 146,850.50 is: 220,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,338.50 : 663,507.76 = 146,850.50 : x
  2. Step 2: Convert to fraction form
    442,338.50/663,507.76 = 146,850.50/x
  3. Step 3: Cross multiply
    442,338.50x = 663,507.76 × 146,850.50
  4. Step 4: Simplify right side
    442,338.50x = 97,436,446,309.88
  5. Step 5: Solve for x
    x = 97,436,446,309.88/442,338.50
  6. Step 6: Final answer
    x = 220,275.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.